vix.ing · top · new · best · stats · spec

Knitting algorithm for calculating Green functions in quantum systems

2007/11/30 by K. Kazymyrenko, Kyryl Kazymyrenko, Xavier Waintal
Engineering · Materials Science · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.77.115119

published as Phys. Rev. B 77, 115119 (2008) · 7 pages, 5 figures, version for PRB

arxiv created 2008/02/19 · openalex publication_date 2008/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a fast and versatile algorithm to calculate local and transport properties such as conductance, shot noise, local density of state, and local currents in mesoscopic quantum systems. Within the nonequilibrium Green function formalism, we generalize the recursive Green function technique to tackle multiterminal devices with arbitrary geometries. We apply our method to analyze two recent experiments: an electronic Mach--Zehnder interferometer in a two-dimensional gas and a Hall bar made of graphene nanoribbons in a quantum Hall regime. In the latter case, we find that the Landau edge state pinned to the Dirac point gets diluted upon increasing carrier density.

Citations